Answer:
- 61x - 67
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
d = - 9x - 2 - (- 5x + 3)
= - 9x - 2 + 5x - 3
= - 4x - 5 and a₁ = - 5x + 3, thus
[tex]a_{15}[/tex] = - 5x + 3 + 14(- 4x - 5) = - 5x + 3 - 56x - 70 = - 61x - 67
